Home
Class 12
MATHS
prove that sec^(2)(tan^(-1)2)+cosec^2(co...

prove that `sec^(2)(tan^(-1)2)+cosec^2(cot^(-1)3)=15`

A

14

B

15

C

16

D

17

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|6 Videos
  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|2 Videos
  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos
  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

Similar Questions

Explore conceptually related problems

Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(sec^(-1)2)+cot^2(cos e c^(-1)3)=11

Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(sec^(-1)2)+cot^2(cos e c^(-1)3)=11

Prove that sec^(2) (tan ^(-1) 3) + cosec^(2)(cot^(-1)2) = 15

sec^(2) (tan^(-1) 4) + cosec^(2) (cot ^(-1) 3) =?

sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3) is equal to

Let lambda=sec^2(tan^(-1)2)+cosec^2(cot^(-1)3)+2 then the value of 17lambda^2+7 is ……

Prove that : (sec^(2)A-1)("cosec"^(2)A-1)=1

prove that : tan ^(2) (sec ^(-1) 2) + cot ^(2) (cosec ^(-1)3) = 11.

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

Prove that (sec^ 2θ−1)(cosec^ 2θ−1)=1